{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Visualizing a Quantum Circuit"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-08-21T09:07:19.545078Z",
     "start_time": "2019-08-21T09:07:19.541701Z"
    }
   },
   "outputs": [],
   "source": [
    "from qiskit import QuantumCircuit, ClassicalRegister, QuantumRegister"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Drawing a Quantum Circuit\n",
    "\n",
    "When building a quantum circuit, it often helps to draw the circuit. This is supported natively by a `QuantumCircuit` object. You can either call `print()` on the circuit, or call the `draw()` method on the object. This will render a [ASCII art version](https://en.wikipedia.org/wiki/ASCII_art) of the circuit diagram."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-08-21T09:07:20.108439Z",
     "start_time": "2019-08-21T09:07:20.103752Z"
    }
   },
   "outputs": [],
   "source": [
    "# Build a quantum circuit\n",
    "circuit = QuantumCircuit(3, 3)\n",
    "\n",
    "circuit.x(1)\n",
    "circuit.h(range(3))\n",
    "circuit.cx(0, 1)\n",
    "circuit.measure(range(3), range(3));"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-08-21T09:07:20.325315Z",
     "start_time": "2019-08-21T09:07:20.317485Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "     ┌───┐          ┌─┐   \n",
      "q_0: ┤ H ├───────■──┤M├───\n",
      "     ├───┤┌───┐┌─┴─┐└╥┘┌─┐\n",
      "q_1: ┤ X ├┤ H ├┤ X ├─╫─┤M├\n",
      "     ├───┤└┬─┬┘└───┘ ║ └╥┘\n",
      "q_2: ┤ H ├─┤M├───────╫──╫─\n",
      "     └───┘ └╥┘       ║  ║ \n",
      "c_0: ═══════╬════════╩══╬═\n",
      "            ║           ║ \n",
      "c_1: ═══════╬═══════════╩═\n",
      "            ║             \n",
      "c_2: ═══════╩═════════════\n",
      "                          \n"
     ]
    }
   ],
   "source": [
    "print(circuit)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-08-21T09:07:20.500036Z",
     "start_time": "2019-08-21T09:07:20.491928Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<pre style=\"word-wrap: normal;white-space: pre;background: #fff0;line-height: 1.1;font-family: &quot;Courier New&quot;,Courier,monospace\">     ┌───┐          ┌─┐   \n",
       "q_0: ┤ H ├───────■──┤M├───\n",
       "     ├───┤┌───┐┌─┴─┐└╥┘┌─┐\n",
       "q_1: ┤ X ├┤ H ├┤ X ├─╫─┤M├\n",
       "     ├───┤└┬─┬┘└───┘ ║ └╥┘\n",
       "q_2: ┤ H ├─┤M├───────╫──╫─\n",
       "     └───┘ └╥┘       ║  ║ \n",
       "c_0: ═══════╬════════╩══╬═\n",
       "            ║           ║ \n",
       "c_1: ═══════╬═══════════╩═\n",
       "            ║             \n",
       "c_2: ═══════╩═════════════\n",
       "                          </pre>"
      ],
      "text/plain": [
       "     ┌───┐          ┌─┐   \n",
       "q_0: ┤ H ├───────■──┤M├───\n",
       "     ├───┤┌───┐┌─┴─┐└╥┘┌─┐\n",
       "q_1: ┤ X ├┤ H ├┤ X ├─╫─┤M├\n",
       "     ├───┤└┬─┬┘└───┘ ║ └╥┘\n",
       "q_2: ┤ H ├─┤M├───────╫──╫─\n",
       "     └───┘ └╥┘       ║  ║ \n",
       "c_0: ═══════╬════════╩══╬═\n",
       "            ║           ║ \n",
       "c_1: ═══════╬═══════════╩═\n",
       "            ║             \n",
       "c_2: ═══════╩═════════════\n",
       "                          "
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "circuit.draw()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Alternative Renderers for Circuits\n",
    "\n",
    "A text output is useful for quickly seeing the output while developing a circuit, but it doesn't provide the most flexibility in its output. There are two alternative output renderers for the quantum circuit. One uses [matplotlib](https://matplotlib.org/), and the other uses [LaTeX](https://www.latex-project.org/), which leverages the [qcircuit package](https://github.com/CQuIC/qcircuit). These can be specified by using `mpl` and `latex` values for the `output` kwarg on the draw() method."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-08-21T09:07:21.031200Z",
     "start_time": "2019-08-21T09:07:20.821727Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 479.192x264.88 with 1 Axes>"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Matplotlib Drawing\n",
    "circuit.draw(output='mpl')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Controlling output from circuit.draw()\n",
    "\n",
    "By default, the draw method returns the rendered image as an object and does not output anything. The exact class returned depends on the output specified: `'text'`(the default) returns a `TextDrawer` object, `'mpl'` returns a `matplotlib.Figure` object, and `latex` returns a `PIL.Image` object. Having the return types enables modifying or directly interacting with the rendered output from the drawers. Jupyter notebooks understand these return types and render them for us in this tutorial, but when running outside of Jupyter, you do not have this feature automatically. However, the `draw()` method has optional arguments to display or save the output. When specified, the `filename` kwarg takes a path to which it saves the rendered output. Alternatively, if you're using the `mpl` or `latex` outputs, you can leverage the `interactive` kwarg to open the image in a new window (this will not always work from within a notebook but will be demonstrated anyway)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Customizing the output\n",
    "\n",
    "Depending on the output, there are also options to customize the circuit diagram rendered by the circuit.\n",
    "\n",
    "### Disable Plot Barriers and Reversing Bit Order\n",
    "The first two options are shared among all three backends. They allow you to configure both the bit orders and whether or not you draw barriers. These can be set by the `reverse_bits` kwarg and `plot_barriers` kwarg, respectively. The examples below will work with any output backend; `latex` is used here for brevity."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-08-21T09:07:22.894879Z",
     "start_time": "2019-08-21T09:07:22.884270Z"
    }
   },
   "outputs": [],
   "source": [
    "# Draw a new circuit with barriers and more registers\n",
    "\n",
    "q_a = QuantumRegister(3, name='qa')\n",
    "q_b = QuantumRegister(5, name='qb')\n",
    "c_a = ClassicalRegister(3)\n",
    "c_b = ClassicalRegister(5)\n",
    "\n",
    "circuit = QuantumCircuit(q_a, q_b, c_a, c_b)\n",
    "\n",
    "circuit.x(q_a[1])\n",
    "circuit.x(q_b[1])\n",
    "circuit.x(q_b[2])\n",
    "circuit.x(q_b[4])\n",
    "circuit.barrier()\n",
    "circuit.h(q_a)\n",
    "circuit.barrier(q_a)\n",
    "circuit.h(q_b)\n",
    "circuit.cswap(q_b[0], q_b[1], q_b[2])\n",
    "circuit.cswap(q_b[2], q_b[3], q_b[4])\n",
    "circuit.cswap(q_b[3], q_b[4], q_b[0])\n",
    "circuit.barrier(q_b)\n",
    "circuit.measure(q_a, c_a)\n",
    "circuit.measure(q_b, c_b);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-08-21T09:07:26.192606Z",
     "start_time": "2019-08-21T09:07:23.731988Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1092.03x626.08 with 1 Axes>"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Draw the circuit\n",
    "circuit.draw(output='mpl')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-08-21T09:07:29.055491Z",
     "start_time": "2019-08-21T09:07:26.594527Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1092.03x626.08 with 1 Axes>"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Draw the circuit with reversed bit order\n",
    "circuit.draw(output='mpl', reverse_bits=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-08-21T09:07:31.528574Z",
     "start_time": "2019-08-21T09:07:29.102557Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 971.628x626.08 with 1 Axes>"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Draw the circuit without barriers\n",
    "circuit.draw(output='mpl', plot_barriers=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-08-21T09:07:34.023384Z",
     "start_time": "2019-08-21T09:07:31.568046Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 971.628x626.08 with 1 Axes>"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Draw the circuit without barriers and reverse bit order\n",
    "circuit.draw(output='mpl', plot_barriers=False, reverse_bits=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Backend-specific customizations\n",
    "\n",
    "Some available customizing options are specific to a backend. The `line_length` kwarg for the `text` backend can be used to set a maximum width for the output. When a diagram is wider than the maximum, it will wrap the diagram below. The `mpl` backend has the `style` kwarg, which is used to customize the output. The `scale` option is used by the `mpl` and `latex` backends to scale the size of the output image with a multiplicative adjustment factor. The `style` kwarg takes in a `dict` with multiple options, providing a high level of flexibility for changing colors, changing rendered text for different types of gates, different line styles, etc. Available options are:\n",
    "\n",
    "- **textcolor** (str): The color code to use for text. Defaults to `'#000000'`\n",
    "- **subtextcolor** (str): The color code to use for subtext. Defaults to `'#000000'`\n",
    "- **linecolor** (str): The color code to use for lines. Defaults to `'#000000'`\n",
    "- **creglinecolor** (str): The color code to use for classical register lines `'#778899'`\n",
    "- **gatetextcolor** (str): The color code to use for gate text `'#000000'`\n",
    "- **gatefacecolor** (str): The color code to use for gates. Defaults to `'#ffffff'`\n",
    "- **barrierfacecolor** (str): The color code to use for barriers. Defaults to `'#bdbdbd'`\n",
    "- **backgroundcolor** (str): The color code to use for the background. Defaults to `'#ffffff'`\n",
    "- **fontsize** (int): The font size to use for text. Defaults to 13\n",
    "- **subfontsize** (int): The font size to use for subtext. Defaults to 8\n",
    "- **displaytext** (dict): A dictionary of the text to use for each element\n",
    "    type in the output visualization. The default values are:\n",
    "    \n",
    "    \n",
    "        'id': 'id',\n",
    "        'u0': 'U_0',\n",
    "        'u1': 'U_1',\n",
    "        'u2': 'U_2',\n",
    "        'u3': 'U_3',\n",
    "        'x': 'X',\n",
    "        'y': 'Y',\n",
    "        'z': 'Z',\n",
    "        'h': 'H',\n",
    "        's': 'S',\n",
    "        'sdg': 'S^\\\\dagger',\n",
    "        't': 'T',\n",
    "        'tdg': 'T^\\\\dagger',\n",
    "        'rx': 'R_x',\n",
    "        'ry': 'R_y',\n",
    "        'rz': 'R_z',\n",
    "        'reset': '\\\\left|0\\\\right\\\\rangle'\n",
    "    \n",
    "    \n",
    "    You must specify all the necessary values if using this. There is\n",
    "    no provision for an incomplete dict passed in.\n",
    "- **displaycolor** (dict): The color codes to use for each circuit element.\n",
    "    By default, all values default to the value of `gatefacecolor` and\n",
    "    the keys are the same as `displaytext`. Also, just like\n",
    "    `displaytext`, there is no provision for an incomplete dict passed\n",
    "    in.\n",
    "- **latexdrawerstyle** (bool): When set to True, enable LaTeX mode, which will\n",
    "    draw gates like the `latex` output modes.\n",
    "- **usepiformat** (bool): When set to True, use radians for output.\n",
    "- **fold** (int): The number of circuit elements at which to fold the circuit.\n",
    "    Defaults to 20\n",
    "- **cregbundle** (bool): If set True, bundle classical registers.\n",
    "- **showindex** (bool): If set True, draw an index.\n",
    "- **compress** (bool): If set True, draw a compressed circuit.\n",
    "- **figwidth** (int): The maximum width (in inches) for the output figure.\n",
    "- **dpi** (int): The DPI to use for the output image. Defaults to 150.\n",
    "- **creglinestyle** (str): The style of line to use for classical registers.\n",
    "    Choices are `'solid'`, `'doublet'`, or any valid matplotlib\n",
    "    `linestyle` kwarg value. Defaults to `doublet`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-08-21T09:07:34.082174Z",
     "start_time": "2019-08-21T09:07:34.067403Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<pre style=\"word-wrap: normal;white-space: pre;background: #fff0;line-height: 1.1;font-family: &quot;Courier New&quot;,Courier,monospace\">            ░ ┌───┐ ░    ┌─┐                           \n",
       "qa_0: ──────░─┤ H ├─░────┤M├───────────────────────────\n",
       "      ┌───┐ ░ ├───┤ ░    └╥┘┌─┐                        \n",
       "qa_1: ┤ X ├─░─┤ H ├─░─────╫─┤M├────────────────────────\n",
       "      └───┘ ░ ├───┤ ░     ║ └╥┘┌─┐                     \n",
       "qa_2: ──────░─┤ H ├─░─────╫──╫─┤M├─────────────────────\n",
       "            ░ ├───┤ ░     ║  ║ └╥┘    ░ ┌─┐            \n",
       "qb_0: ──────░─┤ H ├─■─────╫──╫──╫──X──░─┤M├────────────\n",
       "      ┌───┐ ░ ├───┤ │     ║  ║  ║  │  ░ └╥┘┌─┐         \n",
       "qb_1: ┤ X ├─░─┤ H ├─X─────╫──╫──╫──┼──░──╫─┤M├─────────\n",
       "      ├───┤ ░ ├───┤ │     ║  ║  ║  │  ░  ║ └╥┘┌─┐      \n",
       "qb_2: ┤ X ├─░─┤ H ├─X──■──╫──╫──╫──┼──░──╫──╫─┤M├──────\n",
       "      └───┘ ░ ├───┤    │  ║  ║  ║  │  ░  ║  ║ └╥┘┌─┐   \n",
       "qb_3: ──────░─┤ H ├────X──╫──╫──╫──■──░──╫──╫──╫─┤M├───\n",
       "      ┌───┐ ░ ├───┤    │  ║  ║  ║  │  ░  ║  ║  ║ └╥┘┌─┐\n",
       "qb_4: ┤ X ├─░─┤ H ├────X──╫──╫──╫──X──░──╫──╫──╫──╫─┤M├\n",
       "      └───┘ ░ └───┘       ║  ║  ║     ░  ║  ║  ║  ║ └╥┘\n",
       "c0_0: ════════════════════╩══╬══╬════════╬══╬══╬══╬══╬═\n",
       "                             ║  ║        ║  ║  ║  ║  ║ \n",
       "c0_1: ═══════════════════════╩══╬════════╬══╬══╬══╬══╬═\n",
       "                                ║        ║  ║  ║  ║  ║ \n",
       "c0_2: ══════════════════════════╩════════╬══╬══╬══╬══╬═\n",
       "                                         ║  ║  ║  ║  ║ \n",
       "c1_0: ═══════════════════════════════════╩══╬══╬══╬══╬═\n",
       "                                            ║  ║  ║  ║ \n",
       "c1_1: ══════════════════════════════════════╩══╬══╬══╬═\n",
       "                                               ║  ║  ║ \n",
       "c1_2: ═════════════════════════════════════════╩══╬══╬═\n",
       "                                                  ║  ║ \n",
       "c1_3: ════════════════════════════════════════════╩══╬═\n",
       "                                                     ║ \n",
       "c1_4: ═══════════════════════════════════════════════╩═\n",
       "                                                       </pre>"
      ],
      "text/plain": [
       "            ░ ┌───┐ ░    ┌─┐                           \n",
       "qa_0: ──────░─┤ H ├─░────┤M├───────────────────────────\n",
       "      ┌───┐ ░ ├───┤ ░    └╥┘┌─┐                        \n",
       "qa_1: ┤ X ├─░─┤ H ├─░─────╫─┤M├────────────────────────\n",
       "      └───┘ ░ ├───┤ ░     ║ └╥┘┌─┐                     \n",
       "qa_2: ──────░─┤ H ├─░─────╫──╫─┤M├─────────────────────\n",
       "            ░ ├───┤ ░     ║  ║ └╥┘    ░ ┌─┐            \n",
       "qb_0: ──────░─┤ H ├─■─────╫──╫──╫──X──░─┤M├────────────\n",
       "      ┌───┐ ░ ├───┤ │     ║  ║  ║  │  ░ └╥┘┌─┐         \n",
       "qb_1: ┤ X ├─░─┤ H ├─X─────╫──╫──╫──┼──░──╫─┤M├─────────\n",
       "      ├───┤ ░ ├───┤ │     ║  ║  ║  │  ░  ║ └╥┘┌─┐      \n",
       "qb_2: ┤ X ├─░─┤ H ├─X──■──╫──╫──╫──┼──░──╫──╫─┤M├──────\n",
       "      └───┘ ░ ├───┤    │  ║  ║  ║  │  ░  ║  ║ └╥┘┌─┐   \n",
       "qb_3: ──────░─┤ H ├────X──╫──╫──╫──■──░──╫──╫──╫─┤M├───\n",
       "      ┌───┐ ░ ├───┤    │  ║  ║  ║  │  ░  ║  ║  ║ └╥┘┌─┐\n",
       "qb_4: ┤ X ├─░─┤ H ├────X──╫──╫──╫──X──░──╫──╫──╫──╫─┤M├\n",
       "      └───┘ ░ └───┘       ║  ║  ║     ░  ║  ║  ║  ║ └╥┘\n",
       "c0_0: ════════════════════╩══╬══╬════════╬══╬══╬══╬══╬═\n",
       "                             ║  ║        ║  ║  ║  ║  ║ \n",
       "c0_1: ═══════════════════════╩══╬════════╬══╬══╬══╬══╬═\n",
       "                                ║        ║  ║  ║  ║  ║ \n",
       "c0_2: ══════════════════════════╩════════╬══╬══╬══╬══╬═\n",
       "                                         ║  ║  ║  ║  ║ \n",
       "c1_0: ═══════════════════════════════════╩══╬══╬══╬══╬═\n",
       "                                            ║  ║  ║  ║ \n",
       "c1_1: ══════════════════════════════════════╩══╬══╬══╬═\n",
       "                                               ║  ║  ║ \n",
       "c1_2: ═════════════════════════════════════════╩══╬══╬═\n",
       "                                                  ║  ║ \n",
       "c1_3: ════════════════════════════════════════════╩══╬═\n",
       "                                                     ║ \n",
       "c1_4: ═══════════════════════════════════════════════╩═\n",
       "                                                       "
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Set line length to 80 for above circuit\n",
    "circuit.draw(output='text')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-08-21T09:07:34.550463Z",
     "start_time": "2019-08-21T09:07:34.114408Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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V6jSso/4v9dfKv650zwUYyPqbvrIv/VjF33wr+w+pKj52TL6v/k2Wat7xUZc3V79pdAkuyUpLkcXqo7DoFg7tx9K3KqhGpKqHxVzjSM/hLWONihUaGqpVq1YpPDxcK1eu1MCBA3XmzBmnx+3evVurVq1S586dJUnnzp3Thg0bKrtcAIDJmfrX+rbDNmXuyrzqqk7uoVzVbVpXvv4l2XHhuIVaPGmxYm+K1YMzH9TEzyfqyeQnFVA9QDc0u6H0uI6DOqrJ7U3kG1D1M6clMEDWBwao6JXXVLxtm3z/+hdZgoOMLstlabvSjC7BJVlpKapVt7F8qznex5advlURsd6xWuQtY42K9dprrykmJkY//PCD+vfv71Iokko2WnjhhRdUVFSkDRs2KCAgQG+//bYsFkslVwwAMLOq/9N7GWwZNklSaKTjjcBnz5zV/vX71bxnc0lSxs4MbVy6UYOTBqvzw51L+6VtSFPByQKHFaPKNqn2pEp7bb/V17nKVVAgn8GDZKlVq9yHVtb1PPHEE077JCYmOu2XmJhYUSU5mLhgost9s9JSZMvapzljHXfqOleYr459n3H5dcw61mbwdELJrn+Tak9y+NpITZo00YgRI1RQUKChQ4eqsLDQpeMu3Whh6NChWrVqlbZv365bb71Vffv21YoVKxz6G32dAADPl5ST5FI/U68YBYcFS5KO7jvq0L521lqdOHKiNPDYDpcEqLpN6pb2KTpXpOXPlWy6cOl9SGZiT14r++IlstzdS0X/Xq7i4mKjS6qSsg6k6ub+z2vIi1sc/vj6BSrSS1aMYD7jx4+XJM2fP18//fSTS8dcHooWLlyonJwcvfLKK5KkcePGVVq9AACYesUorEGYolpEKTkxWUG1glTzhprasmKLdn2xS9LFe4eiWkTJL8BPn7zwiXpN7qVTuae07vV1Op17WharRTe2utFtNbuaeK/HlFTX+9p/SFHRP2fL54XnZWnUSOcfHq7ir76W5bZby3XOyrqeqPQop30SExPVeWjnMvvUf65+RZXk4ICLi3O2I/tUeCpX9Vvfreph0Y7tp22KKMfGC2YdazPInFvyz6ScJIev3enylZv7779fkjR37lyXjr9aKLrg3Xff1csvv6xevXopODhYp06dKv2eu68TAFB1mXrFyGq1atg7w1S3aV0tfWqpPpjwgUJqh6jbyG6y+loV1aLkB76aUTX1+7m/14msE5r30Dytm71Od0y4Q7E3xyqyUaT8g/0NvhL3su/YqaK/JshnymRZW7e6eK/RgkVetU336OmjjS7Bqay0FPn6B12xI13m3vUKCYtRcI1IgyorH28Ya1SciIgIxcTE6OTJk9q8ebPT/mWFIknKzc3Vjz/+KKvVqrZtq+ZOnwAA45l6xUiSIuIjNGHFBIe2BWMXKLJxpKoFVitta31va7W+t7VDv3b3t7vi9YrOFcleZFexvVhF54t0ruCcfP19q8xNw8UHflbRH5+Xz5hRsnbtUtpu/c29JTvUffW1LD1uK+MVPEfPgT2NLsGprLQURcZ2ktXH8T/VzH3fedXH6LxhrFFxGjVqJEnauXOn04/YOgtFF2zfvl3t27dXkyZNrrrdNwAAv5bpg9HVpG9OV4OODa7r2A8nfaiURSmSpLTvSnbiem7LcwqrF1ZR5RnKEttAfsuWXNkeECC/JR+4vZ5fY1DbQVqy5cpr8SS3PvTaVdvvGP6Gmyv5dbxhrFFx9uzZowcffFA2m63MftHR0Xr66addek7RG2+8oc8//1zff/99RZcLAIAkgtEVCvMLlb0/W91GdLuu4383+3f63ezfVXBVAOA9srOztXjxYqf9Dh06pN69eysmJkaLFi0qs++GDRt4lhEAoFIRjC7jH+KvxGNsGwwA7vDNN98YXQIAAJJMvvkCzK39re2NLsE0GGsAAODpCEYwrWmzphldgmkw1gAAwNMRjGBaCY8nGF2CaTDWAADA0xGMYFqbvtpkdAmmwVgDAABPRzACAAAAYHoEIwAAAACmRzCCafHAUfdhrAEAgKcjGMG0kpcmG12CaTDWAADA0/GAV5R6peMeo0twq7kz5qrnwJ6GnDv2npmGnNcoRo413CMpJ6ncx2TODZQk3TD6jMPXAAAYgRUjAAAAAKZHMAIAAABgegQjmNbUmVONLsE0GGsAAODpCEYwrbhmcUaXYBqMNQAA8HQEI5jW2F5jjS7BNBhrAADg6QhGAAAAAEyPYAQAAADA9AhGMK1mHZoZXYJpMNYAAMDTEYxgWrs27jK6BNNgrAEAgKcjGAEAAAAwPYIRAAAAANMjGMG0Ej5IMLoE02CsAQCApyMYAQAAADA9ghFMa9qQaUaXYBqMNQAA8HQEIwAAAACm52t0AYAZHVg50e3njL1nptvPCXi6SbUnuf2cSTlJbj8nAMA5VoxgWgPHDDS6BNNgrAEAgKcjGMG0Bo0bZHQJpsFYAwAAT0cwgmmNuWuM0SWYBmMNAAA8HcEIppWbnWt0CabBWAMAAE9HMAIAAABgegQjmFZss1ijSzANxhoAAHg6tuuGab286GWjSzANxhpVQb169dSxY0e1aNFCQUFBKigo0M6dO5WamqoDBw5c9ZikpCR9++23+uijj9xcLQCgvAhGkux2u9bNXqf189fLdtimiPgI9U/or8VPLFZ8l3gNThosSdr7zV59+eaXOrTlkPKP5yu4drCa3dlM/Wb0U2BooMFXgfKa88IcjfkjmwK4A2MNb2WxWPTggw/q0UcfVdeuXa/ZLyUlRa+//rref/99FRUVSZL++c9/6tFHH9WIESP0v//9T8eOHXNX2QCA60AwkrTosUX68dMf1eupXoppG6MDPxzQe6PeU/6xfPUY36O0X8b2DMXdHKfOD3dWQEiAjuw5opUvrpQkPTjrQYOqx/Va8/Ear/lh/a0JUbpl4F/UsseI0rbi4mK9OaqG7hozX/Gd7jewOue8aayBC+Lj4/X222+re/fukqQTJ05o/fr12rJli/Ly8lS9enW1adNGXbp0UadOnfTOO+9o/PjxGjZsmMaPH69HH31UBQUFGjhwIKEIALyA6YPRxqUblbIoRRM+maD4rvGSpEbdG+nQ1kPa9uk2xbSJKe1729jbSr+22+1qcFMDZWzP0J6v9kiSzhee1+InF2vPuj0qPFWomDYxGvC3AarbpK57LwpVSn7OYZ2yZapOvTYO7XlH03S24KQi4zoaVBlQdXXv3l2ffvqpQkNDlZmZqeeff14LFizQ6dOnr+gbEBCgBx98UH/+85/VqVMnbd26Vb6+viooKNB9992n//73vwZcAQCgvEwfjJITk9X0zqaloeiC8Lhw+fj5KKp5lCTJXmTXpo836du3v1V2Wrbys/NL+0a3iZYkFZ0vUp3YOurzbB+FRoZqzcw1mj9ivp7+5mn3XRCqnKy0FFmsPgqLbuHQfix9q4JqRKp6WMw1jgRwPdq1a6eVK1cqJCREy5Yt06hRo5Sbe+0t5wsKCvTuu+9q2bJlSklJUZMmTVRcXKxnn32WUAQAXsTUu9LZDtuUuStTbfu1veJ7uYdyVbdpXfn6l2THheMWavGkxYq9KVYPznxQEz+fqCeTn1RA9QDd0OwGSZJ/sL96PdVLNaNqyupjVfdR3ZW5M1PnCs659brgmjdXv2l0CS7JSktRrbqN5VvN8T627PStioj1jtUibxlrwN/fXwsWLFBISIgWLFigQYMGlRmKLvXSSy+pSZMmOn/+vCwWiyZMmKDg4OBKrhgAUFFMvWJky7BJkkIjQx3az545q/3r96t5z+aSpIydGdq4dKMGJw1W54c7l/ZL25CmgpMFpStGlzvwwwHVrldbfgF+FVbzpNqTKuy1qrInnnjCaZ/9+/erYcOGZfZJTEysqJIcTFww0eW+WWkpsmXt05yx4Q7t5wrz1bHvMy6/TmW9dzx9rM3g6YQ5kkr+HV/6tafzxLqnTp2q5s2b66efftKoUaNkt9tdOu7CRgsFBQUaMGCAZsyYoXbt2ulPf/qTpk6d6tDX6GsEALNJyklyqZ+pV4yCw0p+k3d031GH9rWz1urEkROlgcd2uCRAXXqvUNG5Ii1/brkkOdyHdMFp22ktm7pMfab3qZTa8eutWLHC6BJcknUgVTf3f15DXtzi8MfXL1CRXrJi5C1jDXPz8/PTo48+KkkaP368CgoKXDru0lB03333aeXKlRo9erQkafTo0QoKCqq0mgEAFcfUK0ZhDcIU1SJKyYnJCqoVpJo31NSWFVu064tdki7eOxTVIkp+AX765IVP1GtyL53KPaV1r6/T6dzTslgturHVjQ6ve/bMWb015C21u7+dOgzsUKE1u5p4zS4qPcppn8TERHUe2rnMPvWfq19RJTk4sNK1frYj+1R4Klf1W9+t6mHRju2nbYoox8YLlfXe8fSxNoPMuSX/TMpJcvja03lC3Zeu3tx7772KjIzUtm3b9L///c+l4y8PRRfuKUpNTdW3336rrl27auDAgXrvvfdKj/GGfzcAYEamXjGyWq0a9s4w1W1aV0ufWqoPJnygkNoh6jaym6y+VkW1KPmBr2ZUTf1+7u91IuuE5j00T+tmr9MdE+5Q7M2ximwUKf9g/9LXLDpfpPmPzFd4XDirRfjVstJS5OsfdMWOdJl71yskLEbBNSINqgyoerp06SJJ+vjjj13qf61QdMGyZcscXhcA4NlMvWIkSRHxEZqwYoJD24KxCxTZOFLVAquVtrW+t7Va39vaoV+7+9td8XofTvxQxfbi0ofCwnONnj7a6BKcykpLUWRsJ1l9HP9Tzdz3ndd8jE7yjrEG2rYt2Yhn48aNTvs6C0WXvk67dlf+vwIA4HlMH4yuJn1zuhp0bFDu43IO5ihlUYr8Avz0TOzFm+Kf+e4Z1YquVYEVoiL0HNjT6BKcuvWh167afsfwN9xcya/jDWMNHD58WFu2bFFaWlqZ/V555RWnoUiSfvnlF23ZskXp6emVUS4AoIIRjC5TmF+o7P3Z6jaiW7mPrR1Tm8+Oe5FBbQdpyZYlRpdhCow1vMGwYcNc6rdixQoNGzZMDz30UJnPKfrll19YLQIAL0Iwuox/iL8Sj7FtMADg6r7++mvFxsYqPz/feWcAgNcw9eYLAABcD0IRAFQ9BCOYVvtb2xtdgmkw1gAAwNMRjGBa02ZNM7oE02CsAQCApyMYwbQSHk8wugTTYKwBAICnIxjBtDZ9tcnoEkyDsQYAAJ6OYAQAAADA9AhGAAAAAEyPYATT4oGj7sNYAwAAT8cDXmFayUuT1XNgT0POHXvPTEPOaxQjxxooS1JOUrn6Z84NlCTdMPqMw9cAAO/HihFMa+6MuUaXYBqMNQAA8HQEIwAAAACmRzACAAAAYHoEI5jW1JlTjS7BNBhrAADg6QhGMK24ZnFGl2AajDUAAPB0BCOY1theY40uwTQYawAA4OkIRgAAAABMj+cYwbSadWhmdAlVQka9DKd97p56t0v9AJhPVHpUmd9f8sYSDRo3qMw+zC8AKgIrRjCtXRt3GV2CafSe1tvoEgB4qaVzlhpdAgCTIBgBAAAAMD2CEQAAAADTIxjBtBI+SDC6BACAE8zVANyFYAQAAADA9AhGMK1pQ6YZXQIAwAnmagDuQjACAAAAYHo8xwgwwIGVE91+zth7Zrr9nADgzSbVnmTIeZNykgw5L2B2rBjBtAaOGWh0CQAAJ5irAbgLwQim5exJ6gAA4zFXA3AXghFMa8xdY4wuAQDgBHM1AHchGMG0crNzjS4BAOAEczUAdyEYAQAAADA9ghFMK7ZZrNElAACcYK4G4C4Eo3LIO5KnSbUnaeOyjUaXggrw8qKXjS4BACqc7+kgVbPVcrm/f06YfAoCKrGiX8fb5mpfX1/Vrl1bNWvWlMViKbNvYGCgbrrpJjdVBsAZglE5HNxyUJJUr109gytBRZjzwhyjSwCACuVzJlANVg5Q7GcD5Z9b22n/gGN11GDlANVf1V8+hf5uqLD8vGGubtmypZKSkpSamqpTp07p+PHjys3Nlc1m07p16/SHP/xBkZGRDscEBgbq008/1bp169SjRw9jCgfggGBUDgc3H1RQzSDViatjdCmoAGs+XmN0CS57a0KUtq+b59BWXFysN0aGar2Oz24AACAASURBVF/Kvw2qyoliKeBYhEL3N1ZIeqysZ/2Mrgio8ux+Z3Uu+KR8C4LUYOWAMsNRwLE6qv/5/fItDNS5kJOy+55zY6Wu8+S5OjY2Vp9//rl+/PFHTZw4UR06dJCvr69ycnKUl5en0NBQ3XbbbXrxxRd18OBBzZ49WyEhIaWh6I477pDNZlNGRobRlwJAkq/RBXgCu92udbPXaf389bIdtikiPkL9E/pr8ROLFd8lXoOTBkuSDm49qJi2Mdq4dKPWzFqj7P3ZqtOwjvq90E9NejQx+CpQVeXnHNYpW6bq1Gvj0J53NE1nC04qMq6jQZVdW1Dmjbphw20KyLn4SwS771nlNPtRWR3XS1a7gdUBVVexb5HS7/pE9b7oq5CM+mqwcoB+vmeZCmvlOPS7NBSdqJemQ3d8pmIf/rssjyFDhmjOnDkKCQnRiRMn9N5772nJkiXavHmz8vPzJUkRERG65ZZbNHToUPXr10/jx49Xnz59dPToUXXq1EmZmZnq0aOH9uzZY/DVAJBYMZIkLXpskVa/ulpdhnbRmCVj1Pa+tnpv1Hs6/vNxRbeNLu13aOshHdl9RBsWbFDvab019K2hkqR5D81T7iG2E0XlyEpLkcXqo7DoFg7tx9K3KqhGpKqHxRhU2dUFZ8Sowar+8s8Jc2i3nq+m8B87KGZtb8le9ufuAVy/C+EoP+qXq64cEYp+vREjRmjhwoUKCQnRhx9+qLi4OD322GP6+uuvS0ORJB09elQrVqzQgAED1LZtW23atEn169dXp06ddOzYMUIR4GFMH4w2Lt2olEUpGvnBSN3x2B1q1L2Rek3upQYdG8h+3q6YNiU/dNoybDqRdUJhDcI0btk4tbqnlVr2bqmH5z6ss6fPasfqHZKkk0dP6o3+b2jKjVP0t+5/06Fth4y8PJThzdVvGl2CS7LSUlSrbmP5Vgt0aM9O36qIWA9bLSqWor6+UyqWLNeYXkJ/iVf1g+wyBVSma4UjbwxFnjZX33zzzZozp+S+p8mTJ+u3v/2tjh8/7vS4/fv3Ky8vr/TvRUVFys7OrrQ6AZSf6T9Kl5yYrKZ3NlV813iH9vC4cPn4+SiqeZSkktUiSeozvY+sPhd/4KvbtK6svlblZ5f8huijpz5SROMIjVg4QqmLU/XOsHf0bMqzDsfAM6TtSlPtCOc3JxstKy1Ftqx9mjM23KH9XGG+OvZ9xqCqri44o56q5dcos0+xxa5au1rpZP00N1UFmNMVH6v7bKBkt8j3XIDXhCLJs+Zqf39/vfvuu/Lx8dGrr76q1157zaXjLtxTdPvttyszM1OZmZlq3769kpKSNHTo0EquGoCrTB2MbIdtytyVqdvG3XbF93IP5apu07ry9S8ZooNbDio0MlQNOzd06Jd/PF/283bVjKqpgpMF2rF6h/6848+qFlhNXYZ10ReJX+jnlJ8Vd0tchdQ8qfakCnmdqu6JJ55w2icxMdFpv8TExIoqycHEBRNd7pt1IFU3939ezbo97NC+8JlWiizHipE73jv3d5uo8f3uL7OPpdiqwp1+mjSE93JFeTqh5LfXk2pPcvja03lj3d5YczXfKXpl7Fo1r99ZkrRl31o9M+3/dL7IMzZbcGUeNmquvtxDDz2kpk2bateuXZo+fbpLx1y60cKFe4rsdru2bdumhx9+WC+++OIVH6fz9PcU4G2ScpJc6mfqZQxbhk2SFBoZ6tB+9sxZ7V+/v/RjdNLFYHS5Tcs2yWK1qMntTZSdlq3g2sEKCQsp/X5U8yhl7c6qpCtAVWc7sk+Fp3JVv/Xdqh4WXfqn6FyBCk/bFOFhGy+cLzpbof0A/HoxEU0VHd649O/1I1soKiy+jCNwLePHj5ck/fWvf1VhYaHT/lcLRXv27NG+ffv0/vvvO7wmAOOZesUoOCxYknR031E1v6t5afvaWWt14sgJRbe5uPHCwa0HVXS2SOcKzskvoGTb4dO201ozc406PNBBtaJrKedgjgKqOz4kL6B6gApPOZ88XeVq4jW7qPQop30SExPVeWjnMvvUf65+RZXk4MBK1/plpaXI1z/oih3pMveuV0hYjIJrRF7jyCu5471T7UQN6aOy+xSrWH7d8ngvV6DMuSX/TMpJcvja03lj3d5W86X3FF1Qq3qk5jyXetXd6ozgbL42cq6+dOXmhhtuUPv27XXixAl99JGTiU7XDkUXvPXWWxo9erT69OmjSZMcV4g8+T0FVGWmDkZhDcIU1SJKyYnJCqoVpJo31NSWFVu064tdklQajGwZNp08elJh9cP0/uj31XV4V+Xn5OuLV7+Qf4i/+if0lyRVC6qmwnzHEFRwskD+wZ750DyzGz19tNElOJWVlqLI2E6y+jj+p5q577tyfYzOXc6G5ulkzAGFHGwgi67cea5YxZKlWLlNfzSgOsBcLt9oITS95CPd+VG/lLmVt6fxlLm6Q4cOkqSUlBSnq0XOQpEkbd68WWfOnFF8fLxq1qwpm81WabUDcI2pP0pntVo17J1hqtu0rpY+tVQfTPhAIbVD1G1kN1l9rYpq4bjxwiPvPyIfPx/Ne3iePp72sWJvidXjKx9XUI0gSVKduDrKP56vUzmnSs+RuStTkU1c/60+3KfnwJ5Gl+DUrQ+9poHT113RfsfwN3TvpI/dX5ALDt+6WoU1S37QKlZxaXux7JKlWIe7f+HxP4gB3u5qu89dUNZW3p7IU+bqhg1L7jHeuXNnmf1cCUWSdP78+dL22Fh26gQ8galXjCQpIj5CE1ZMcGhbMHaBIhtHqlpgNUlSy94tS5e1h8679u4xAdUD1KJXC/33lf+q75/6KnVJqiwWixp0alBp9eP6DWo7SEu2LDG6jCqnKKBAB/ouVq3dLVVrV2v5n6wpScqL363jLbaoIPyowRUCVZuzLbldfQisp/CUufqjjz7S1q1blZGRUWa/Tp06qXv37i49vHXMmDHy9/fX3r17K7pcANfB9MHoatI3p6tBxwbXdewDrz6g98e8rz/E/UHhceEaPn84W3XDdOzVzul4q8063mqzWswr2YHv8G2rDa4KqPr88qu79Jyiq4Wj/fcv1Pmg0wZU7R0yMjKchiJJ+uqrr3T//fdr7969Th/e+v3331dUeQAqAMHoMoX5hcren61uI7pd1/HVI6pr/L/ZYQYA4H7ngk8qr+Fu+eWHOn1O0aXh6Ex4ts4HEooqymeffea8EwCPQzC6jH+IvxKPued5CDBW+1vbG10CAFQsi3Tkli+lYqtkdf7w1mLfIqX3WqFiq11X2S/FIzBXA3AXghFMa9qsaUaXAAAVzyLJ4jwUXVDWqpInYK4G4C7c/ALTSng8wegSAABOMFcDcBeCEUxr01ebjC4BAOAEczUAdyEYAQAAADA9ghEAAAAA0yMYwbQ84YGBAICyMVcDcBeCEUwreWmy0SUAAJxgrgbgLmzXDdOaO2Oueg7saci5Y++Zach5AcDbGDlXJ+Uklat/5txASdINo884fA3AO7BiBAAAAMD0CEYAAAAATI9gBNOaOnOq0SUAAJxgrgbgLgQjmFZcszijSwAAOMFcDcBdCEYwrbG9xhpdAgDACeZqAO5CMAIAAABgegQjAAAAAKZHMIJpNevQzOgSAABOMFcDcBeCEUxr18ZdRpcAAHCCuRqAuxCMAAAAAJgewQgAAACA6RGMYFoJHyQYXQIAwAnmagDuQjACAAAAYHoEI5jWtCHTjC4BAOAEczUAdyEYAQAAADA9X6MLgOeYktrY7ed8peMet5/TExxYOdHt54y9Z6bbzwkAcL9JtSe5/ZxJOUluPydQ0VgxgmkNHDPQ6BIAAE4wVwNwF4IRTGvQuEFGlwAAcIK5GoC7EIxgWmPuGmN0CQAAJ5irAbgLwQimlZuda3QJAAAnmKsBuAvBCAAAAIDpEYxgWrHNYo0uoWopruT+AEyJuRqAuxCMyiHvSJ4m1Z6kjcs2Gl0KKsDLi142uoQqw1Lko5jkvqq5p5lL/X3OBCr2k0EKOhJVyZUB8HbM1ZXH399fd9xxh6ZMmaJ//etfevfdd/WPf/xDI0eOVKtWra56TK1atfT111/rjjvucHO1QOXjOUblcHDLQUlSvXb1DK4EFWHOC3M05o/c1FsRqqfHKjQ9TtXTS36za2u865p9fc4EqsHKAQqwhSnyh2460HeJZHFXpQC8DXN1xQsPD9dTTz2lESNGKDw8/Jr9Nm/erH/84x+aP3++7Ha7atWqpeTkZLVv315///vf1b59exUXs/yPqoMVo3I4uPmggmoGqU5cHaNLMVzxmTM698CDsn/9zcW2wkKdnzRZ5194UcV2u4HVuWbNx2uMLsFlb02I0vZ18xzaiouL9cbIUO1L+bdBVV10Inafsjp+K4ssivr6rmuuHF0aigpqHlf6XZ8QigCUyZvmam8wcOBA7dy5U08//bTCw8O1bds2zZ49W+PGjdPw4cM1ZcoUffDBB8rOzla7du309ttv68svv1SHDh1KQ9GePXvUp08fQhGqHFaMJNntdq2bvU7r56+X7bBNEfER6p/QX4ufWKz4LvEanDRYknRw60HFtI3RxqUbtWbWGmXvz1adhnXU74V+atKjicFX4V6WwEBZBw5Q0cJFsnTrKtntKprxkuTnJ59pU2WxkrkrSn7OYZ2yZapOvTYO7XlH03S24KQi4zoaVJmjY21SJUmRqV0V9fVdkhxXji4PRT/fs0xFgWcMqRUAzOjZZ5/VjBkzJElr1qzRs88+q++///6qff39/TV48GAlJCSoW7du2rBhg3x9fbVnzx7dfvvtysjIcGfpgFvw06ukRY8t0upXV6vL0C4as2SM2t7XVu+Nek/Hfz6u6LbRpf0ObT2kI7uPaMOCDeo9rbeGvjVUkjTvoXnKPWS+7UStv+krHc9R8TffqijpHyo+dkw+z/9Rlmp+RpdWpWSlpchi9VFYdAuH9mPpWxVUI1LVw2IMquxKx9qkXnPliFAEAMYZP368ZsyYoaKiIj3++OPq2bPnNUORJBUWFuq9995T165dZbPZ5Ovrq6KiIo0YMYJQhCrL9CtGG5duVMqiFE34ZILiu8ZLkhp1b6RDWw9p26fbFNOm5IdOW4ZNJ7JOKK5znMYtGyerT0mmDI8NV0KXBO1YvUPdHummVS+t0pblW3R071ENfXuo2vZra9i1VTZLYICsDwxQ0SuvSbVqyjfp77IEBxldlsveXP2m0SW4JCstRbXqNpZvtUCH9uz0rYqI9YzVoktdbeVIEqEIwHXxlrnakzVt2lR///vfJUnDhw/X+++/79JxtWrV0tKlS1WzZk3l5+crJCREL7/8srp37y67F3xkHigv0wej5MRkNb2zaWkouiA8Llw+fj6Kal6ya9ahrYckSX2m9ykNRZJUt2ldWX2tys/OlyTVaVhH/V/qr5V/XVkp9U6qPalSXleS/FZfZ80FBfIZPEiWWrXKfWhlXc8TTzzhtM/+/fvVsGHDMvskJiZWVEkOJi6Y6HLfrLQU2bL2ac5YxxtkzxXmq2PfZ1x+ncp871zN4Nuf1sh7Ekr//vORHZry/O2yjcp2ax1m8HTCHEkl/44v/drTeWPd3ljzBV+8UjLveFq9zuZrI+fq8vLU98c///lPBQQE6O233y5XKLr0nqJ+/fopOTlZXbp00ciRIzV37lyH/p5wncC1JOUkudTP1B+lsx22KXNX5lVXdXIP5apu07ry9S/Jjge3HFRoZKgadnacnPOP58t+3q6aUTUlSR0HdVST25vIN6DqZ0578lrZFy+R5e5eKvr3cq+7CXPFihVGl+CSrAOpurn/8xry4haHP75+gYr0wBWjC/77w9vKPZlV+vfPNrwp2ylCEYDy8Za52lO1aNFCd955p06ePKnJkye7dMzloej222/XTz/9pClTpkiSHnvsscosGTBM1f/pvQy2DJskKTQy1KH97Jmz2r9+v5r3bF7adiEYXW7Tsk2yWC1qcrt7Nl9wNfFejymprve1/5Cion/Ols8Lz8vSqJHOPzxcxV99Lcttt5brnJV1PVHpzp+Pk5iYqM5DO5fZp/5z9SuqJAcHXFycsx3Zp8JTuarf+m5VD4t2bD9tU0Q5Nl6ozPfO5S7daOGC8ffN0n1/71vmVt64Ppn//xe3STlJDl97Om+s2xtrLvX/N7b0tHqdzddGztXl5Snvj0tXb4YOLbkfesGCBbLZbE6PvVoounBP0dKlS/Xaa6+pZcuW6tixo1JTL/7g4GnvK+B6mHrFKDgsWJJ0dN9Rh/a1s9bqxJETim5z8QfRg1sPKic9R+cKzpW2nbad1pqZa9ThgQ6qFV3+j5F5K/uOnSr6a4J8pkyWtXWri/caLVjkFdt0e5OstBT5+gddsSNd5t71CgmLUXCNSIMqu7bLd5+7wNlW3gCAinfLLbdIkpYvX+60b1mhSJLOnTunVatWSZJuvvnmyikYMJCpg1FYgzBFtYhScmKyfvjwB+35co+WTF6i7xeW7NJyIRjZMmw6efSkAmsE6v3R72v3/3Zr47KNmtV7lvxD/NU/ob+Rl+FWxQd+VtEfn5fPmFGydu1S2m79zb1SXp6Kv/rawOrKZ/T00UaX4FRWWooiYzvJ6uO4uJu57zuP/Bjd1bbkvsCV5xwBwOW8Ya72ZG3alPxibdOmTWX2cxaKLrjwOm3bVt3NpWBepv4ondVq1bB3hmnJk0u09KmlCqoVpJsevEndRnbTZzM+U1QLx40XHnn/ESUnJmvew/PkF+Cn1ve2Vp/pfRRUw3t2Yvu1LLEN5LdsyZXtAQHyW/KB2+v5NXoO7Gl0CU7d+tBrV22/Y/gbbq7EOWfPKXL2nCMAuBpvmKs92dq1axUYGKjs7Gvf42mxWLRq1SqnoUiStm/frpUrV+qnn36qrJIBw5g6GElSRHyEJqyY4NC2YOwCRTaOVLXAapKklr1bln52dui8oWW+XtG5ItmL7Cq2F6vofJHOFZyTr7+vLBZL5VwArtugtoO0ZMuVIQ/l5+rDWwlHAMqLufrXuf/++532KS4u1ksvvaQXX3xRvXr1KvM5RevWrdO6desqsELAc5g+GF1N+uZ0NejY4LqO/XDSh0pZlCJJSvsuTZL03JbnFFYvrKzDAK8WcLyOqp2o6dJzii4NR9V/iZet0S6J3xsAgKGWL1+uTz/9VEVFRUaXAhiGYHSZwvxCZe/PVrcR3a7r+N/N/p1+N/t3FVwV4NlORacr/a4VKgjLdunhrcfapOpsqE0n6x0gFAGAhyAUwewIRpfxD/FX4jHPeFAcKlf7W9sbXUKVcio6vVz9T8Tuq6RKAFQlzNUA3MXUu9LB3KbNmmZ0CQAAJ5irAbgLwQimlfB4gtElAACcYK4G4C4EI5jWpq/KfqYDAMB4zNUA3IVgBAAAAMD0CEYAAAAATI9gBNPigYEA4PmYqwG4C9t1o9QrHfcYXYJbJS9NVs+BPQ05d+w9Mw05LwB4GyPnam+VlJNUrv6ZcwMlSTeMPuPwNWA2rBjBtObOmGt0CQAAJ5irAbgLwQgAAACA6RGMAAAAAJgewQimNXXmVKNLAAA4wVwNwF0IRjCtuGZxRpcAAHCCuRqAuxCMYFpje401ugQAgBPM1QDchWAEAAAAwPQIRjCtZh2aGV0CAMAJ5moA7kIwgmnt2rjL6BIAAE4wVwNwF4IRAAAAANMjGAEAAAAwPYIRTCvhgwSjSwAAOMFcDcBdCEYAAAAATI9gBNOaNmSa0SUAAJxgrgbgLgQjAAAAAKbna3QB8BxTUhu7/ZyvdNzj9nN6ggMrJ7r9nLH3zHT7OQEAcMWk2pMMOW9STpIh54VnYsUIpjVwzECjSwAAOMFcDcBdCEYwrUHjBhldAgDACeZqAO5CMIJpjblrjNElAACcYK4G4C4EI5hWbnau0SUAAJxgrgbgLgQjAAAAAKZHMIJpxTaLNboEAIATzNUA3IVgVA55R/I0qfYkbVy20ehSUAFeXvSy0SVUKcGH6snnTKDL/UMPxMtS5FOJFQGoCpircS033nijWrZsqWbNmik4OLjMvjExMbr11lvdVBm8FcGoHA5uOShJqteunsGVoCLMeWGO0SVUGcGH6qneF79Rg5UDXApH4Vs7KmZtH0WvvUcqdkOBALwWczUu8PHxUb9+/bRixQodPXpUhw4d0o8//qidO3fqxIkT2rFjh/72t78pLi7O4biYmBj973//0+eff64uXboYVD28AcGoHA5uPqigmkGqE1fH6FIMV3zmjM498KDsX39zsa2wUOcnTdb5F15Usd1uYHWuWfPxGqNLcNlbE6K0fd08h7bi4mK9MTJU+1L+bVBVFxWEZetsqE0BtjCn4Sh8a0dFpnZVsYp1sv4+yeLGQl3gd6KGau1qpdrb2yr4cAzBDTCYN83VqDw9evTQTz/9pP/85z/q27ev6tSpo+PHj2v79u3avXu3ioqK1Lx5c02ZMkX79+/X22+/rRo1apSGooYNG2r79u3asWOH0ZcCD+ZrdAGewG63a93sdVo/f71sh22KiI9Q/4T+WvzEYsV3idfgpMGSpINbDyqmbYw2Lt2oNbPWKHt/tuo0rKN+L/RTkx5NDL4K97IEBso6cICKFi6SpVtXyW5X0YyXJD8/+UybKouVzF1R8nMO65QtU3XqtXFozzuaprMFJxUZ19Ggyi4qCjyjn+9ZpgYrB5SGo5/vWaaiwDMO/S4NRRndv5Ct8S6DKr6Sz5lA3fj1Xap+0PF+hrMhecrovkanog4aVBkAmNtLL72kadOmSZL27t2r119/Xf/+97/1yy+/lPbx9/dXp06d9Mgjj+i3v/2thg8frt69e+v8+fOKjo5WSkqK7rrrLuXl5Rl1GfAC/PQqadFji7T61dXqMrSLxiwZo7b3tdV7o97T8Z+PK7ptdGm/Q1sP6cjuI9qwYIN6T+utoW8NlSTNe2iecg+ZbztR62/6SsdzVPzNtypK+oeKjx2Tz/N/lKWan9GlVSlZaSmyWH0UFt3Cof1Y+lYF1YhU9bAYgypzdCEcFdQ8ftWVI08ORdaz1dRg5QCFHGxwxff88qur/uf3KSjzRvcXBgAmN2vWLE2bNk3nzp3TH//4RzVv3lxJSUkOoUiSCgsL9c033+iRRx5RmzZtlJqaqrp16yo6Olo7duwgFMElpl8x2rh0o1IWpWjCJxMU3zVektSoeyMd2npI2z7dppg2JT902jJsOpF1QnGd4zRu2ThZfUoyZXhsuBK6JGjH6h265Xe3aPGTi7Vn3R4VnipUTJsYDfjbANVtUtew66tMlsAAWR8YoKJXXpNq1ZRv0t9lCQ4yuiyXvbn6TaNLcElWWopq1W0s32qOH0/LTt+qiFjjV4sudbWVows8NRRJUq3dLRVgC7vq9yyyqrjYrrobblXafYs87qN/QFXnLXM1Kt7DDz+sxx57TIWFherXr5/++9//unTcmTNnVKtWrdK/h4aGyu4FH/GH8UwfjJITk9X0zqaloeiC8Lhw+fj5KKp5lKSS1SJJ6jO9T2kokqS6TevK6mtVfna+is4XqU5sHfV5to9CI0O1ZuYazR8xX09/87T7LsgIBQXyGTxIlksmIW+QtitNtSNqG12GU1lpKbJl7dOcseEO7ecK89Wx7zMGVXVtl4ejCzw1FElSrV2tVKxiWa6ReiyyKjAnQgHHI1QQftTN1QHm5i1zNSpW3bp1NXPmTEnS2LFjXQ5Fl95TlJqaKqvVqvbt2+uVV17R2LFjK7NkVAGmDka2wzZl7srUbeNuu+J7uYdyVbdpXfn6lwzRwS0HFRoZqoadGzr0yz+eL/t5u2pG1ZR/sL96PdWr9HvdR3XXZzM+07mCc/ILqJiPl02qPalCXudq/FavLFd/e/Ja2RcvkeXuXir693JZet8ti6V8v06vrOt54oknnPZJTEx02i8xMbGiSnIwccFEl/tmHUjVzf2fV7NuDzu0L3ymlSLLsWJUme+dq6kZPF1zJ/+oWtUjJUmv/+dx/WfKP91ag6v++/IEWazO37uLHviPvty6xA0Vlc/TCSW7dk2qPcnha0/njXV7Y80XfPFKybzjafW6Mg8bNVeXl7e+Pzyx7scff1w1a9bUZ599pnfffdelYy4NRRfuKbrxxhu1ZcsWjRgxQn/5y190+PBhh2OMvk64R1JOkkv9TH2PkS3DJkkKjQx1aD975qz2r99f+jE66WIwutymZZtksVrU5PYrN1848MMB1a5Xu8JCkSex/5Cion/Ols+fnpPP+LGSzabir742uqwqx3ZknwpP5ap+67tVPSy69E/RuQIVnrYpwgM2XriWu296pDQUSVKfW8aqZrBn7uh49nyBS/0Kz56u5EoAANWqVdPIkSMlSTNmzHDpmKuFory8PO3cuVMff/yxfH19NWrUqMosG1WAqVeMgsNKHgZ2dN9RNb+reWn72llrdeLICUW3ubjxwsGtB1V0tshh9ee07bTWzFyjDg90UK1ox4+Rnbad1rKpy9Rnep8KrdnVxHs9pqS61s++Y6eK/pognymTZW3dSpJK7jVasEiW7t3KtSNdZV1PVHqU0z6JiYnqPLRzmX3qP1e/okpycMDFxbmstBT5+gddsSNd5t71CgmLUXCNyGsceaXKfO9c7tKNFo7c/KVq7W6lBmqh95N2XXW3OqMVrDso//2NZSnjd0VFvmc1ZF1vPejX042VuSZzbsk/k3KSHL72dN5YtzfWXOr/7/jvafU6m6+NnKvLy1vfH55Q96UrN+3atVOdOnX0008/acOGDU6PvVYouuCdd97R4MGDdffdd+v55593ONYb/v3AfUy9YhTWIExRLaKUnJisHz78QXu+3KMlk5fo+4XfS1JpMLJl2HTy6EkF1gjU+6Pf1+7/7dbGZRs1q/cs+Yf4q39Cf4fXPXvmrN4a8pba3d9OHQZ2cPt1VabiAz+r6I/Py2fMKFm7XnxImvU390p5eV61ajR6+mijS3AqKy1FkbGdZPVx/B1G7Qba1AAAIABJREFU5r7vyvUxOne6fPe5nJZby9ytzhMcb7FFspTcB3Utuc22ye53zo1VAZC8Y65GxerQoeRnp++++85pX2ehSJK+/77k57o2bdrI19fUawJwwtTByGq1atg7w1S3aV0tfWqpPpjwgUJqh6jbyG6y+loV1cJx44VH3n9EPn4+mvfwPH087WPF3hKrx1c+rqAaF3diKzpfpPmPzFd4XHiFrxZ5AktsA/ktWyJr7/9zbA8IkN+SD2TtceX9Wp6q50DP+83/5W596DUNnL7uivY7hr+heyd97P6CnLjWltzOtvI2WkGdLB3u/oVkKXYIR8WWkl2MTtTfp6yOzv8HDaDiecNcjYpVr149SdLu3bvL7OdKKJIkm82mI0eOKDAwUHXqeOZHuuEZTB+bI+IjNGHFBIe2BWMXKLJxpKoFVpMktezdsnSpdei8oWW+3ocTP1Sxvbj0obDwXIPaDtKSLZ53I723cvacIlcfAmuUvEY/qSD8qGrtaq2wXSUfXcyPOqjcZtt0MuaAZL32ahKAysNcbT5/+9vf9O677+rYsWNl9mvZsqXq1avn0sNbe/TooaKiIh09ys6iuDbTB6OrSd+crgYdG5T7uJyDOUpZlCK/AD89E3txG+VnvnvminuQgKok9EC8S88pujwc1fuirw70XeIxzwYqrJWjI13WlQaj9P/7j8EVAYD55OTkKCcnx2m/VatWqXfv3kpNTXX68FZnq0+ARDC6QmF+obL3Z6vbiG7lPrZ2TG1u4oMpnax3QCfqpelk/X1On1N0IRzV+6Kvsm76xmNCEQDA+6xZs8boElCFEIwu4x/ir8RjnvE8BFSu9re2N7qEKqPYp0gHe37icsgpCjzjUStFADwXczUAdzH15gswt2mzphldQtVS3pBDKALgAuZqAO5CMIJpJTyeYHQJAAAnmKsBuAvBCKa16atNRpcAAHCCuRqAuxCMAAAAAJgewQgAAACA6RGMYFo8MBAAPB9zNQB3YbtulHql4x6jS3Cr5KXJ6jmwpyHnjr1npiHnBQBvY+RcDfcp73MgM+cGSpJuGH3G4Wvg12DFCKY1d8Zco0sAADjBXA3AXQhGAAAAAEyPYAQAAADA9AhGMK2pM6caXQIAwAnmagDuQjCCacU1izO6BACAE8zVANyFYATTGttrrNElAACcYK4G4C4EIwAAAACmRzCCaTXr0MzoEv5fe3ceH2V5qH38miX7QhYgIRAgYV/CJosoiguggBwUEcTXigsCnoqCtZSeerSl9j14bCUudWstFRAKFXkVQUW2agXZRQUFJCwBAgRICCHrLO8fMcEhITPRZJ6ZPL/v58PH5OHOzDVjuDNXnnvuBwDgBXM1AH+hGMG0vtn+jdERAABeMFcD8BeKEQAAAADToxgBAAAAMD2KEUxrzqI5RkcAAHjBXA3AXyhGAAAAAEyPYgTTmnXXLKMjAAC8YK4G4C8UIwAAAACmZzc6AGBGB1c96vf7TBvxvN/vEwCAxmp6wnRD7jfzbKYh92sGnDGCaY2dMtboCAAAL5irAfgLxQimNe6hcUZHAAB4wVwNwF8oRjCtKUOnGB0BAOAFczUAf6EYwbTycvOMjgAA8IK5GoC/UIwAAAAAmB7FCKaV1iXN6AgAAC+YqwH4C8UIpvXM4meMjoAAYHHWYRp0S3IxbQL+xFwNMwsJCTE6gqnwE74Ozp04p+kJ07V92Xajo6AevDb7NaMjwGBxe7sp/d0JshVHeB/slpI3X6vWa26RxWlr+HAAJDFXo3FISUnRvffeqxdffFErV67URx99pH/84x+aNWuWBg8eLIvFUu1runTpor179+qGG24wILE5UYzqIPuLbElS696tDU6C+rD2nbVGR4CBLE6rEnf3UnheU7VdNab2cvR9KUrc3VtRx1IVfrqZ/4ICJsdcjWDWo0cP/fOf/9Thw4c1b948PfzwwxoxYoSGDRum8ePH63/+53+0YcMG7du3T9OmTZPNVvGLty5dumj9+vVKS0vTtGnTDH4U5kExqoPsndmKjItUs3ReFMG//vpwir7e8IbHMbfbrVcmxeq7rcsNShXc3DaXDg1frpK4MwrPr6Uc/aAUuawOZd+4SsVJJ/wfGPgx3FLsgY5KW3FH1aE2K8co5mD7iqWhABqEzWbTk08+qW3btmns2LFyu9169913NXPmTI0aNUo333yzJk6cqBdeeEGHDx9W+/bt9cILL2jTpk0aOXKk1q9fr6SkJK1evVoTJkww+uGYht3oAIHA5XJpw583aOObG5V/LF/N2zfXmDljtGTGErW/qr3GZ46XJGXvylZqr1Rtf3u71r6wVrkHctWsXTONnj1ana7rZPCjQGNVePaYLuTnqFnrnh7Hz53KUlnJeSWl9zUoWfBzRhTp0Ih31HbVmKpydGjEOxcH1FCKClsfNC4wUBcui1p+MlRxB7rIbXFVHY462VLRJ1J1ttNXyrl6nVR9BQ+An8But2vRokW6446KX0i8/PLLevrpp5WTk1Nt7Pz58zVjxgyNHj1amZmZ6tevn9577z1ZrVatXr1ao0ePVklJib8fgmlxxkjS4mmLtfqPq3XVxKs0ZekU9bq1l+Y/OF9nDp1Rq16tqsYd3XVUJ/ae0OcLP9fwWcM18a8TJUlv3P2G8o5ynYVg8+rqV42O4JOTWVtlsdqU2Kqbx/HTR3YpskmSYhJTDUrWOFSWox+eOapEKUIwS9zTS3EHukiSLO6LP+4rP07Ym6H4vd0NyVYXwTJXA5VefPFF3XHHHcrPz9eQIUP085//vMZSVMnlcmn58uW6/fbbVVJSIqvVqvLycj366KOUIj8zfTHa/vZ2bV28VZMWTdIN025Qh2s6aNgvhqlt37ZyOVxK7VnxojP/eL4KThYosW2iHlr2kDJGZKj78O665/V7VFZUpt2rd0uSFkxeoCc6PaFZbWbpuSHP6eAWXkgFqqxvsoyO4JOTWVsVn9xR9lDPZV65R3apeRpni+rDpeWoEqUIQctlUcLXveSuZb2cWy4lft074JfUBctcDUjS8OHDNXXqVJWUlOimm27S2rW+vUeuS5cuev/99xUeHq7c3FyFhITo5ZdfrnFTBjQc0y+lWzN3jTrf2Fntr27vcbxpelPZQmxK6ZoiqeJskSSNfGKkrLaLfTK5c7KsdqsKcwslSUMfG6oJL02QPdSu3at3a9698zR7z+x6yzs9YXq93VZjNmPGDK9j5s6d63Xc3Llz6yuSh0cXPurz2JNZW5V/8ju9NrWpx/Hy0kL1HfVrn2+H7x3v4qKf0LNT1qltcsXZuTJHqWbPv12bf7HS4GS1+9Wcil27pidM9/g40AVj7mDJnNqsk/4285Fax1hkVdi5BP2h3Z+Um5/tp2TV+TIPGzVX11WwfH9cKhhzB2Jmq9WqP//5z5KkJ554Qlu2bPHp6yo3Wqh8T9H999+v7du36/rrr9edd96pxYsXe4w3+nEGo8yzmT6NM/UZo/xj+cr5Jke9Rveq9nd5R/OU3DlZ9rCK7pj9RbZik2LVbmA7j3GFZwrlcrgUlxInqaIo2UPtcrvdstltOn/yvMpLyhv+waDROnlwmwaM+a3u+sMXHn/sIRFK4oxRvcovPKXdhz6r+jzv/AntPeLbDzYgkNjtoT6PDbH5PhbA5Y0cOVJpaWnav3+/z2X90lI0evRoHTt2TE8++aQk6ec//3lDRsYlTH3GKP94viQpNinW43hZcZkObDygrkO6Vh2rLEaX2rFshyxWizpdf3HzhQWTF2jXil1ylDo0aNIghYTX38W5fG28ZpdyJMXrmLlz52rgxIG1jmnz323qK5KHg6t8G5d/4juVXshTmx43KSaxlefxonw1r8PGC3zvePGDjRYqJcW30YLMPTo04h05I4oNDFe7nNcr/pt5NtPj40AXjLmDJbO1LFSuRQ5ZnbX/mHeGlOlX30yX2+70U7LqvM3XRs7VdRUs3x+XCsbcgZD50jM3P/vZzyRJr776qlwuV01f4qGmUlT5nqKFCxfqf//3f3X11VcrPT1dWVkXl5QG+v+bYGbqM0ZRiVGSpFPfnfI4vu6FdSo4UaBWPS++EM3ela2zR856nP0pyi/S2ufX6oo7rlB8q/iq4z97/Wd65sgzemDhA2rbt23DPgj8aJOfmGx0BK9OZm2VPSyy2o50Ofs3KjoxVVFNkgxK1shcsvtcJa9beQMByhVapnPtvvXyHiO38jvuNrQU+SIY5mpAkvr37y9J+uCDD7yOra0USVJRUZE++eQTSVK/fv0aJjCqMXUxSmybqJRuKVozd422/GOL9v1rn5b+Yqk2v7VZkqqKUf7xfJ0/dV4RTSK0YPIC7V2/V9uXbdcLw19QWHSYxswZU+22bSE2ZYzI0LoX11UrXggMQ8YOMTqCVyeztioprZ+sNs/f+uZ8t4lldPWlhi25K126Wx3lCMHkVJ/P5Yi8ILeq/+baLZfKowuU23OrAcnqJhjmaiA2NlZt2rRRcXGx9u7dW+tYb6Wo0s6dOyVJGRkZDZIZ1Zm6GFmtVt07714ld07W24+/rUUPL1J0QrQGTRokq92qlG6eGy/cv+B+2UJseuOeN/TOrHeUdmWaHln1iCKbRF72PhxlDp09ctYvjwd1M67XOKMjeHXt3c9p7BMbqh2/4b5XdMv0d6p/AerGy3WKatrKm3KEYOGIuqCsUUt0PvWQx5kjt9w63yZLB0ctDeglopWCYa4GpIoldK+//nqty+jCw8P10UcfeS1FkvTZZ5/pr3/9a1VBQsMz9XuMJKl5++Z6+L2HPY4tnLpQSR2TFBpR8YbU7sO7V63nnPjGxMve1oWzF7T/k/3qOqyrrHarNs3fVG1JHoAA4ePFWy93EdhgeEEJOKILlT1shULOx6jj0vslSfvu/JscUYUGJwMal4KCAj300ENex5WUlGjatGmaNGmS7rjjjlqvU7R69WqtXr26PmPCC9MXo5oc2XnkR7836JO/fKJ/PPoPWawWtejSQpOXTFZ0YnT9BgTwk1lcVoWei/PpOkU/LEf2kkjZSyIoRggq5THnqz6mFAHGevfdd/Xuu+8aHQM1oBhdorSwVLkHcjXogUF1/tqohCg9srL260YgcPS5to/REWAgt82l7BtXKvxMMxUnnfA6vrIc2UvCVRrP8ljAX5irAfgLxegSYdFhmns6MC4Uh4Y164VZRkeAwdx2p0+lqJIzokjOiKIGTATgUszVAPzF1JsvwNzmPDLH6AgAAC+YqwH4C8UIprXjkx1GRwAAeMFcDcBfKEYAAAAATI9iBAAAAMD0KEYwraVfLDU6AgDAC+ZqAP5CMYJprXl7jdERAABeMFcD8Be264Zpvf706xoydogh95024nlD7hcAgo2RczVQm8yzmXX+mpzXIyRJLSYXe3yMwMAZIwAAAACmRzECAAAAYHoUI5jWzOdnGh0BAOAFczUAf6EYwbTSu6QbHQEA4AVzNQB/oRjBtKYOm2p0BACAF8zVAPyFYgQAAADA9ChGAAAAAEyPYgTT6nJFF6MjAAC8YK4G4C8UI5jWN9u/MToCAMAL5moA/kIxAgAAAGB6FCMAAAAApkcxgmnNWTTH6AgAAC+YqwH4C8UIAAAAgOlRjGBas+6aZXQEAIAXzNUA/IViBAAAAMD07EYHQOD45baOfr/PZ/vu8/t9BoKDqx71+32mjXje7/cJAAACy/SE6X6/z8yzmX6/zx+DM0YwrbFTxhodAQDgBXM1AH+hGMG0xj00zugIAAAvmKsB+AvFCKY1ZegUoyMAALxgrgbgLxQjmFZebp7REQAAXjBXA/AXihEAAAAA06MYwbTSuqQZHQEA4AVzNQB/oRjVwbkT5zQ9Ybq2L9tudBTUg2cWP2N0BBjMXhSp+G+7+Tw+/HQzRR/hRRoCW/jpZorObuvz+JhD7RR2NrHhAv1EzNWAsaKiojRgwAANHTpU1113nVq1alXr+IEDB+r666/3U7r6RTGqg+wvsiVJrXu3NjgJ6sNrs18zOgIMZHFa1eaDMUr5bIia7rrC6/jw083U5sPblLp2pCJOtvBDQqDuQgpj1OaDMUpdM9KnEh97sL1S141Q2w/GyF4U6YeEdcdcDfhfQkKCHnvsMX355ZcqKCjQ559/rtWrV2v9+vXKzs7WiRMn9Nprr6lnz54eXzdw4EB99NFHev/995WRkWFQ+h+PYlQH2TuzFRkXqWbpzYyOYjh3cbHK77hTrk//ffFYaakc038hx+w/yO1yGZjON2vfWWt0BJ/99eEUfb3hDY9jbrdbr0yK1XdblxuUKri5bS6dydght9xK2jao1nJUWYrspREqbHVYJU1P+jEp4LvyqPM61+EbWV12pa4dUWs5ij3YXq3WD5fFbVVep6/liCjyY1LfBdNcDQQ7i8WiqVOn6vDhw/rTn/6kjIwMOZ1O7dy5Ux9//LE+/fRTnT17VklJSZo8ebK++OILLV68WImJiVWlKCYmRsuXL9eePXuMfjh1Zjc6QCBwuVza8OcN2vjmRuUfy1fz9s01Zs4YLZmxRO2vaq/xmeMlSdm7spXaK1Xb396utS+sVe6BXDVr10yjZ49Wp+s6Gfwo/MsSESHr2NvlfGuxLIOullwuOZ/+HykkRLZZM2Wx0rnrS+HZY7qQn6NmrT1/K3PuVJbKSs4rKb2vQcmCX37Hikk75dMhSto2SJJ0uqfnUtkflqKC1lk6esNKuW2BX/xhUhbpxIBPJEmJu3srde0IZd+4SoWtD3oM+2Epyu25Raeu2CRZjAgMIFBERkZqyZIluuWWWyRJH3/8sV566SV99NFHKi0t9RjbrVs3TZo0SQ8++KDuvPNODRs2TGFhYYqKitJbb72liRMnyul0GvEwfhJevUpaPG2xVv9xta6aeJWmLJ2iXrf20vwH5+vMoTNq1eviOsqju47qxN4T+nzh5xo+a7gm/nWiJOmNu99Q3lHzbSdq/Y9R0pmzcv/7MzkzX5T79GnZfvukLKEhRkdrVE5mbZXFalNiK8/3wpw+skuRTZIUk5hqULLGIb/jHh2/Zk2NZ44oRQhK35ejM9121njmiFIE4FKhoaFasWKFbrnlFp0+fVpjx47VsGHD9N5771UrRZK0e/duzZgxQxkZGdqxY4cSEhIUFRWlVatWBW0pkjhjpO1vb9fWxVv18IqH1f7q9pKkDtd00NFdR/Xl+18qtWfFi8784/kqOFmg9IHpemjZQ7LaKjpl07SmmnPVHO1evVuD7h9Udbs73tmh+ZPm695596rX6F7+f2B+YIkIl/WO2+V89jkpPk72zD/JEhWYa9Rr8urqV42O4JOTWVsVn9xR9tAIj+O5R3apeRpni+pDTWeOJFGKELxqOHNUKdhKUbDM1UAwmz17tm644Qbl5OTouuuu0759+3z6uuTkZHXo0KHq806dOiksLExFRYG5NNcb0xejNXPXqPONnatKUaWm6U1lC7EppWuKpIqzRZI08omRVaVIkpI7J8tqt6owt7DqWFlRmT5+7mMld072wyMIACUlso0fJ0t8vNFJ6iTrmywlNE8wOoZXJ7O2Kv/kd3ptalOP4+Wlheo76tcGpWp8fliOLN+/UqQUIahdUo6qDgdRKZKCZ64GgtUVV1yhxx9/XE6nU2PGjPG5FP3wPUWLFy9W165d1bNnTz399NN67LHHGjh1wzB1Mco/lq+cb3I0+KHB1f4u72iekjsnyx5W8RRlf5Gt2KRYtRvYzmNc4ZlCuRwuxaXEVR1bM3eN+k/or68//LreM09PmF7vt1kpZPWqOo13rVkn15Klstw0TM7l78oy/CZZLHX7KdtQj2fGjBlex8ydO9fruLlz59ZXJA+PLnzU57EnD27TgDG/VZdB93gcf+vXGUqqwxmjhvzeaUzuHvKkJt70O0nS4ZN7NHVWLzmc5Qanqt2v5lTs2jU9YbrHx4EuGHMHY2ZJ+v19K3Rl14r3DWz4Yon+8Ms7DU50kS/zsFFzdV0F6/dHMOYOxsxSYOaeOXOmbDabnnvuOX3++ec+fc0PS1Hle4p69OihHTt2aOrUqfr973+vvLyLbzMx+jFmns30aZyp32OUfzxfkhSbFOtxvKy4TAc2HqhaRiddLEaX2rFshyxWizpdX7H5wpkjZ/T1h1/r2snXNmBy47m2bJXzpT/L9tR/y/afU6X8fLk/+dToWI1O/onvVHohT2163KSYxFZVf5zlJSotyldzNl6oV+1Seum2QY9Ufd4mqatuv8Z7yQYC2TUZt6tfp5urPr+q+60a0GWkgYkABIqkpCTddtttcjgc+uMf/+jT19RUiip3rvvwww8VERGhiRMnNnDyhmHqM0ZRiVGSpFPfnVLXoV2rjq97YZ0KThSoVc+LGy9k78qWs8yp8pJyhYRXbC5QlF+ktc+v1RV3XKH4VhXLyN594l2N+K8RsoXYGiSzr433x/jlNt/GuXbvkfP/zpHtl7+QtUfFHvXWO26Xc+FiWa4ZVKcd6Rrq8aQcSfE6Zu7cuRo4cWCtY9r8d5v6iuThoI8n505mbZU9LLLajnQ5+zcqOjFVUU2SfL7PhvzeaQwu3WjhfGqWUj67UZNGPqNRT42qtltdIMl5veK/mWczPT4OdMGYO9gye2y00GOLrI4QJe7prdmT/l+Nu9UZwdt8beRcXVfB9v1RKRhzB2NmKTBy//DszbXXXquQkBB9+OGHysnJ8fq1lytFlebPn6+bb75ZN954ozIzLz6uYPh/I5m8GCW2TVRKtxStmbtGkfGRimsRpy/e+0LffPyNJFUVo/zj+Tp/6rwS2yRqweQFuvq+q1V4tlAf//FjhUWHacycMZKkfZ/sU8n5EnUf3t2wx9TQ3AcPyfnkb2Wb8qCsV19Vddz6H7fI9fY7cn/yqSzXVV+aGIgmPzHZ6AhenczaqqS0frLaPP+p5ny3qU7L6FC7y+4+Z3XXupU3EMhq3H1Okiy1b+UdaIJhrgaC1RVXVOzEunnzZq9jvZWiH95O5e0GG1MXI6vVqnvn3auljy3V24+/rcj4SPW/s78GTRqklU+vVEo3z40X7l9wv9bMXaM37nlDIeEh6nFLD418YqQim1TsxHZg4wEd2nZIv2n/G0lScUGxju46qtysXA2dMdSYB1nPLGltFbJsafXj4eEKWbrI73l+iiFjhxgdwatr736uxuM33PeKn5M0XrVtye3LdY6AQFTblty+XOcokATDXA0Eq5YtW0qSDhw4UOs4X0qRJGVlZcnlcqlFixayWCxyu90NkruhmLoYSVLz9s318HsPexxbOHWhkjomKTQiVJLUfXj3qlOAE9+4/JrJ6//zeg382cXT/fPum6cBdw1QnzF9GiA5fqpxvcZp6RfVSx7Mw5frFFGOEGy8XqfIx4vABgrmaqDhPPDAA5o2bZqKi4trHdesWTOFh4f7dPHW5s2bq7i4OOhKkUQxqtGRnUfUtm/bOn9deGy4wmPDqz63h9kVGR/pcQxAYLA4rUpdc4tPW3JfWo6Kmp9QUYtj/owL+CTkfIxabrjZ+5bcl5ajdcO1f9zf5YgMzmuPAPhxysrKVFZW5nXce++9p0GDBmn79u1eL9565syZ+orndxSjS5QWlir3QK4GPTDI+2Avpq2YVg+JADQEt82lY9d9pPhvM3T8mo+9XqeoshyFnotTUTKlCIGpPOa8cq5ar9Dzsd6vU/R9OXJb3CppeopSBKBWW7ZsMTpCg6MYXSIsOkxzTwfG9RDQsPpcyxJHsytKPq6i5OM+j68sR0Agy++02/fBFunkgMC+1AJzNQB/MfV1jGBus16YZXQEAIAXzNUA/IViBNOa88gcoyMAALxgrgbgLxQjmNaOT3YYHQEA4AVzNQB/oRgBAAAAMD2KEQAAAADToxjBtLhgIAAEPuZqAP7Cdt2o8mzffUZH8Ks1b6/RkLFDDLnvtBHPG3K/ABBsjJyrgcYo82xmncbnvB4hSWoxudjj48aIM0Ywrdefft3oCAAAL5irAfgLxQgAAACA6VGMAAAAAJgexQimNfP5mUZHAAB4wVwNwF8oRjCt9C7pRkcAAHjBXA3AXyhGMK2pw6YaHQEA4AVzNQB/oRgBAAAAMD2uY4RG6Xjr417H3DTzJp/GAQAajrd5mLkagL9wxgimNXzWcKMjAAC8YK4G4C8UIwAAAACmRzECAAAAYHoUIwAAAACmRzECAAAAYHoUIwAAAACmRzECAAAAYHoUIwAAAACmxwVeUW9evu1lFZ4ulNvtVvN2zTXhxQkKjw03OhYAL/b/e7+W/XKZHGUOtb+6vcbNHSerLbB/b7bsV8v05ftf6vyp83ou9zmj4/gk72ieFj28SOdyzslqs6rbzd006slRRscCAHwvsH/yIajc9+Z9mvnpTP3q379SXKs4rX95vdGRAHjhcrm05NElunfevXpi+xMqOV+ibUu3GR3Lq9639dbj6x83OkadWO1WjXpqlP5r83/p8Q2P69CWQ/pq1VdGxwIAfI9ihHoTERshqeKFVllRmSwWi8GJAHhzZMcRxSbHKrlzsiRpwN0DtGvFLoNTeZd+ZbpimscYHaNOmiQ3UeverSVJ9lC7UrqlKO9onsGpAACVWEqHevWXu/6iw9sOK6lTkm79/a1GxwEaJVeZVJ5b/fdapcesNX5si3XLHuOu8bbOHT+n+JbxVZ/Ht4pX/rH8ekx7UXmuRa6y6r8wqSm3xSqFtnA1SI66cBZLjrO+P9f2eJdskd5v98LZC/pq5Vd66J2H6iUnAOCnoxihXj246EG5XC6tfHqlNv59o65/+HqjIwGNjsUuFWwMkSPP8wX72ZVh1T+2utVsXOllb8vtdks/7Co196d6UX7aqnOfhlY7XlPuqB7lAVGMLHYpf12oXMWeha6mzJYwt5qPL/F6m45Sh+bdO0+Dpw5WUsek+g0MAPjRWEqHeme1WtV/Qn9tWbzF6ChAo2SxSrFXlvs0NqqHQ/bYy7eduJZxHsu58o7lKS4Z577xAAARNElEQVQl7idnrElEJ6fsCd7LjjXcrejejgbJUFfWECmmv2/PdcwV5bJ62W/G5XRpweQFapnRkl8cAUCA4YxRPTiy44g+mPOBDm45KJfDpRZdWui6/7xOvW/rbXQ0vykpKFFpUamaJDeRJH254suq9ywAqH9hqS6FpTpVmm277BhrhFvRvWovGK17t9a5nHM68e0JJXdO1uaFm9Xjlh71HVfS94VuYLnH2ZaaRPctl7X2IX4V0dGpC7tdcpy+/O8SbXEuRXZ1er2tJdOXKCw6TLc+zVJjAAg0FKOfaP+n+/Xq2FdlD7Orz5g+CosO064Vu/TmA28q/1i+aX4jWFxQrL9N/JscJQ7JIiV1SNLtz9xudCygUYsdWK7co1bJXfNGJzH9ymWtvnLNg9Vm1fjM8Zp37zw5yhxqd1U79R3ftwHSVghr6VJYW6dKD9Vc6OzxLkV29qFgzFiiPav3yOV06aluTyljRIbGPju2vuNKkiwWqcnAcp1Zcfm2FntluSxe1mBkfZ6lzW9tVosuLfTs4GclSQP+zwANnjK4PuMCAH4kitFP4HQ4tWT6ElmsFk1bOU2tMlpJkm6aeZOeG/Kc3n/6ffUc3VMJqQkGJ2148a3i9Yu1v6jx79wuqey4VaEtXWKjOqD+2OPciuzmVNHX1adye6JLER29FwxJ6nhtR/3681/Xd7zLih1QrtwjVslVfUKIvcp7wZCk8XPHN0Cyywtt4VJ4ukMlWdWf67BUp8Jbe18imH5lujLPZjZEPABAPaAYefHVqq+0af4mHdlxRMUFxYptHqu0AWkaMmOICk4U6PTB0+p/V/+qUiRVbFs9dMZQLfr5Im1ZvEU3z7zZwEdgvOLvbDq3IVQJI0oV1sr4N1MDjUlMn3IV77fJXepZMnwtGEawN3ErqrtDF74M8Tge1sapsJaBO0fEDHCo5LBNcv7guba4FePj+70AAIGNYnQZTodTC6cs1M7lOxWXEqcet/RQeEy4Th04pV0rdqnf+H46sOmAJKnz9Z2rfX3nGyqOHdh4wK+5A43bJRXutMue6FJoAL/gAYKVNbziTf8FGy+umQtPcyosAHZ0q010H4eK99nlKvm+ZFjdPm8oYRR7jFtRGQ5d+OJioYvs6lRIfANu5QcA8BuK0WUsm7lMO5fv1MB7BurWP9yqsKiLa8vzjuYpokmEPl/4uSSpWbtm1b4+NilWYdFhyj2Q67fMgaj4O5uc56yKH1rKMjqggUR2dapoj0uOfKtkdStmQGAXDEmyhla8B6py++6obg7ZmwR+wYju5VDxXrtcxRZZwtyKuSLwn2sAgG8smWczA/8nkZ8d2HRAL458UZ1v7KwpS6fIcplX9K+MeUV7N+zVb7b9Rs3Sq5ejp7o9pdLCUs05PKfesuW8HlFvtwUAAAA0di0mF/s0LkBXoBvrX6/8S5I06qlRly1FAAAAABoPltLVYO+GvUponaCW3VvWOi48tuJKfiUFNV/pvOR8iSKa1O8ZHl8br9HcLin3n2Gy2KWmY1hGB/iD262g/LcWjLmDMTMaXuWqjhaTiz0+DnTBmDsYM0vBmTsYM/9YFKNLFJ0rUmlhqVJ7pXodW/neotwDudXGF5wsUGlhqVr3aV2v+YJxKd2JvwRfZgAAfqwf/qwOpp/bwZg7GDNLwZk7GDNXYindj/X9O64Kcwu9Dm13VTtJ0rfrv632d9+u+9ZjDAAAAIDAxRmjS0TGRappWlOd3HdSezfsVafrOnn8/cn9J5XUIUmS1HFwRyW2TdSOZTt07ZRrq65lVFxQrI/nfixbqE397uxXr/mC4dRl0b6K6xbFDytVeNvA3jIYAID6EqxLjoIxdzBmloIzdzBm/rEoRjUY+cRIvfnAm3rtjtfUfXh3NU1vqsLcQh3celDJnZL1wIIHJEk2u013Pn+nXh37ql4c+aL6jOmjsOgw7VqxS3nZeRo9e7QSWyca/Gj864fXLQprQykCAABAcKAY1aD3bb0VHhuu9S+t175/7dPu1bsV0zRGrfu01uCHBnuM7XBNBz2y6hF9MOcD7Vy+U06HUy26tNCop0apz5g+Bj0CA1mkJteUSxbemAwAAIDgQTG6jC43dlGXG7v4NLbNFW009Z9TGzhRcLBYpLAUzhQBAAAguLD5AgAAAADToxgBAAAAMD2KEQAAAADToxgBAAAAMD2KEQAAAADToxgBAAAAMD2KEQAAAADToxgBAAAAMD2KEQAAAADToxgBAAAAMD2KEQAAAADToxgBAAAAMD2KEQAAAADToxgBAAAAMD2KEQAAAADToxgBAAAAMD2KEQAAAADToxgBAAAAMD2KEQAAAADToxgBAAAAMD2KEQAAAADToxgBAAAAMD2KEQAAAADToxgBAAAAMD270QHQePyu5+8UFhkma0hF37771buV0jXF4FQAAASH/f/er2W/XCZHmUPtr26vcXPHyWoL7N9hL/vVMn35/pc6f+q8nst9zug4Psk7mqdFDy/SuZxzstqs6nZzN416cpTRsbx6+baXVXi6UG63W83bNdeEFycoPDbc6Fg+++fj/9SmNzcF9PcJxQj1aurbUxXXMs7oGAAABBWXy6Uljy7RpLcmKblzsv5+39+1bek29Z/Q3+hotep9W28N+8UwPdXtKaOj+Mxqt2rUU6PUundrOcocemXMK/pq1VfKGJFhdLRa3ffmfYqIjZAkLf/Ncq1/eb2GzxpucCrfHNh0QGVFZUbH8Cqwfw0BAABgAkd2HFFscqySOydLkgbcPUC7VuwyOJV36VemK6Z5jNEx6qRJchO17t1akmQPtSulW4ryjuYZnMq7ylLkcrlUVlQmi8VicCLfOEodev9372v07NFGR/GKM0aoV3+56y9yu93qdlM33TzzZtlCbEZHAgAg4J07fk7xLeOrPo9vFa/8Y/kGJjKHC2cv6KuVX+mhdx4yOopP/nLXX3R422EldUrSrb+/1eg4Pvno2Y804O4Bim4abXQUryhGqDePrHxE8a3iVXqhVIv+c5HWvbROQ2cMNToWAAANwu2W8teFyJHvuQAnd1lYjR9HtHcquqfjMrflln54AsBdr1E9lByx6vzWkGrHa8ptsbuVMLxM1tCGy+MLt0vK+yhUziLPsySXe66jujsU2clZ6206Sh2ad+88DZ46WEkdk+o38PeK9tl04avqL7drym2NcCvh5jJZalnP9eCiB+VyubTy6ZXa+PeNuv7h6+s9s6tcOrsqVG6Hb891TN9yhbdx1Xhbx3cf1+HthzXiNyPqPWdDYCkd6k18q4rfdIVFhenKn12pQ1sOGRsIAIAGZLFIER2dcpyxynHm4kuqSz92nLHKWWBRRIeaS5EkxbWM81jOlXcsT3EpDfOe3bBWLsktn3KHtXIZXookyWKVwtN9e65dxRaFp9deilxOlxZMXqCWGS0bpFxUCk9zylVi8Sl3RJqz1lJUyWq1qv+E/tqyeEtDRJY1RApv7fIps1xSWGrNpUiSsjZn6cTeE5rda7Z+1/N3cjld+l3P36mkoKRBsv9UnDH6ibYt3aYDmw7o6K6jOr7nuJxlTk14aYIG3DXA6Gh+VXqhVG6nW+Gx4XI5Xdq1YpdSurEjHQCgcQtPdSks1anS7NqXjkf3dsgWefm/b927tc7lnNOJb08ouXOyNi/crB639KjntBUsVil2YLnOrgyrdZw1ynXZM1xGiOjo1IXdLjlO194eYvqXy1r9hJiHJdOXKCw6TLc+3bDL0awhUmz/cuWvr71d2hNdiqjlDFdJQYlKi0rVJLmJJOnLFV9WvR+tIURlOFT0jU3Owtqf69iB5bWWuUH3D9Kg+wdVff5Ys8f01K7A3aiDYvQTrfzDSuVl5ykqMUqxSbHKyw78N+81hPO55/W3e/4mt8stt9Ottv3aauhjLKMDADR+sQPLlXvUKrlrfjO8LcalqO61FwyrzarxmeM17955cpQ51O6qduo7vm9DxJUkhbV0KayNU6WHL1/oYgc4ZPHySnHJjCXas3qPXE6Xnur2lDJGZGjss2PrOW0Fi0VqMrBcZ1ZcvtCFNHMpokPtZ4uyPs/S5rc2q0WXFnp28LOSpAH/Z4AGTxlcr3krhbd3KmS3S+WnLt8gvBWM4oJi/W3i3+QocUgWKalDkm5/5vYGSFvBYpdirixX/prLP9dhrZ0VZx8bEUvm2cwGXMXa+O3dsFfN2jVTQmqC1mSu0fuz3zflGSNv3O6KCQ0AgMbo3MYQFX1dc4uIG1KqiPTAewHpOGdR7j/DJFf1H9AhzV1KHF0akD+789aEqCSr5uc68T9KFZoceM912UmLzrxb8zWHwto6lTAs8LaydrulMytCVX6ihvJscavZHaWyxzWuGsEZIy++WvWVNs3fpCM7jqi4oFixzWOVNiBNQ2YMUUrXFHW6rpPREQOeI9+ivDWhiruuTCFNG9c/IAAAJCmmT7mK99vkLvVsEqEtnApPC7wX6pJkb+JWVHeHLnxZfd1Z7FVlAVmKJCmmv0Mlh22S0zNgeLojIEuRJIUmuRXe3qGS7y556W11K/bKcmNCeVF5hu70cqs8dwaRoro5G10pkth84bKcDqfefOBNvXH3Gzr+9XH1uKWHBk8ZrJY9WmrXil06d/yc0RGDRuEOu5wFFlmjGt8/IAAAJMkaLsVccekLXHfFEqkALRiSFN3HIWu458/niA4OhTYP3J/Z9li3ojIuWZpocytmQOC8H6omsf0dks3zeY3KcMgeG7jPdUgztyI6ei5NtIS5FV3te71x4IzRZSybuUw7l+/UwHsG6tY/3KqwqItrLPOO5imiSYSB6YKHI9+i4gM2RWU4ZOMpAwA0YpFdnSra46ravjuikzPgV0pYQ6XovuUq+HfF5gAWu1sx/QL/RW90L4eK99rlKq5ondE9HLLHBPZzbYt2K7qnQ4U7Ks7QWSPciu4d2GVOkmL6lasky1a1fXdM33JZa9+3I2hRjGpwYNMBbfz7RnW+sbPGzR1X7crCldtSGyHn9eBsFxe+DKnxVD0AAI1V8V67ivcG10stt8OiU4uC77VG4c4QFe4MrtcZrmKLTv49+J7rgs9CVfCZ0SnqpsXkYp/GsZSuBv965V+SpFFPjapWigAAAAA0PsH1aww/2bthrxJaJ6hl95ZGR6nG18YbCPLXhajkkE3NJpSwjA4AYBqOAotskW6vW10HmvI8i0LiA3s52qUc+RbZmrgD+n1cl3K7K3IH23MdjN8fdRVk/2QbXtG5IpUWliq1V6rRUWoUjEvpTi0IvswAAABoHFhK92N9X4QLcwuNzQEAAADAbzhjdInIuEg1TWuqk/tOau+GvdWuU3Ry/0kldUgyKF1wLKVz5FdcMC4qw6HYKwN/txUAAADAknk2s3EvFvwRdi7fqTcfeFNWm1Xdh3dX0/SmKswt1MGtB5XcKVkPLHigauym+ZuUtTlLkpSzJ0dHdx1V2oA0NU1vKklKH5CugfcMNORxGIX3FgEAACDYcMaoBr1v663w2HCtf2m99v1rn3av3q2YpjFq3ae1Bj802GNs1uYsbV281ePYwc0HdXDzwarPzVSM3C7JVW5RZFeuWwQAAIDgwRkjNAi3S7LwDjYAAAAECV66okFQigAAABBMePkKAAAAwPQoRgAAAABMj2IEAAAAwPQoRgAAAABMj2IEAAAAwPQoRgAAAABMj2IEAAAAwPQoRgAAAABMj2IEAAAAwPQoRgAAAABMj2IEAAAAwPQoRgAAAABMj2IEAAAAwPQoRgAAAABMj2IEAAAAwPQoRgAAAABMj2IEAAAAwPQoRgAAAABMj2IEAAAAwPQoRgAAAABMj2IEAAAAwPQoRgAAAABMj2IEAAAAwPQoRgAAAABMj2IEAAAAwPQoRgAAAABMj2IEAAAAwPT+P9A2sm0a/g1/AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 1092.03x626.08 with 1 Axes>"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Change the background color in mpl\n",
    "\n",
    "style = {'backgroundcolor': 'lightgreen'}\n",
    "\n",
    "circuit.draw(output='mpl', style=style)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-08-21T09:07:34.991487Z",
     "start_time": "2019-08-21T09:07:34.585528Z"
    },
    "tags": [
     "nbsphinx-thumbnail"
    ]
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 780.02x447.2 with 1 Axes>"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Scale the mpl output to 1/2 the normal size\n",
    "circuit.draw(output='mpl', scale=0.5)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## circuit_drawer() as function\n",
    "\n",
    "If you have an application where you prefer to draw a circuit with a self-contained function instead of as a method of a circuit object, you can directly use the `circuit_drawer()` function, which is part of the public stable interface from `qiskit.tools.visualization`. The function behaves identically to the `circuit.draw()` method, except that it takes in a circuit object as required argument.\n",
    "\n",
    "<div class=\"alert alert-block alert-info\">\n",
    "<b>Note:</b> In Qiskit Terra <b> <= 0.7, </b> the default behavior for the circuit_drawer() function is to use the <i>latex</i> output backend, and in <b>0.6.x</b> that includes a fallback to <i>mpl</i> if <i>latex</i> fails for any reason. Starting with release <b> > 0.7, </b>the default changes to the <i>text</i> output.\n",
    "</div>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-08-21T09:07:57.321520Z",
     "start_time": "2019-08-21T09:07:57.318296Z"
    }
   },
   "outputs": [],
   "source": [
    "from qiskit.tools.visualization import circuit_drawer"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-08-21T09:07:57.752965Z",
     "start_time": "2019-08-21T09:07:57.353458Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 971.628x626.08 with 1 Axes>"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "circuit_drawer(circuit, output='mpl', plot_barriers=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-08-21T09:08:30.149127Z",
     "start_time": "2019-08-21T09:08:30.140718Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<h3>Version Information</h3><table><tr><th>Qiskit Software</th><th>Version</th></tr><tr><td>Qiskit</td><td>None</td></tr><tr><td>Terra</td><td>0.15.0</td></tr><tr><td>Aer</td><td>0.5.1</td></tr><tr><td>Ignis</td><td>None</td></tr><tr><td>Aqua</td><td>None</td></tr><tr><td>IBM Q Provider</td><td>0.7.0</td></tr><tr><th>System information</th></tr><tr><td>Python</td><td>3.8.2 (default, Mar 26 2020, 10:43:30) \n",
       "[Clang 4.0.1 (tags/RELEASE_401/final)]</td></tr><tr><td>OS</td><td>Darwin</td></tr><tr><td>CPUs</td><td>4</td></tr><tr><td>Memory (Gb)</td><td>16.0</td></tr><tr><td colspan='2'>Fri May 08 08:43:36 2020 EDT</td></tr></table>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<div style='width: 100%; background-color:#d5d9e0;padding-left: 10px; padding-bottom: 10px; padding-right: 10px; padding-top: 5px'><h3>This code is a part of Qiskit</h3><p>&copy; Copyright IBM 2017, 2020.</p><p>This code is licensed under the Apache License, Version 2.0. You may<br>obtain a copy of this license in the LICENSE.txt file in the root directory<br> of this source tree or at http://www.apache.org/licenses/LICENSE-2.0.<p>Any modifications or derivative works of this code must retain this<br>copyright notice, and modified files need to carry a notice indicating<br>that they have been altered from the originals.</p></div>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import qiskit.tools.jupyter\n",
    "%qiskit_version_table\n",
    "%qiskit_copyright"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "celltoolbar": "Tags",
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.7"
  },
  "varInspector": {
   "cols": {
    "lenName": 16,
    "lenType": 16,
    "lenVar": 40
   },
   "kernels_config": {
    "python": {
     "delete_cmd_postfix": "",
     "delete_cmd_prefix": "del ",
     "library": "var_list.py",
     "varRefreshCmd": "print(var_dic_list())"
    },
    "r": {
     "delete_cmd_postfix": ") ",
     "delete_cmd_prefix": "rm(",
     "library": "var_list.r",
     "varRefreshCmd": "cat(var_dic_list()) "
    }
   },
   "types_to_exclude": [
    "module",
    "function",
    "builtin_function_or_method",
    "instance",
    "_Feature"
   ],
   "window_display": false
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
